Atkin-Lehner |
2- 3+ 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
18492c |
Isogeny class |
Conductor |
18492 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
626065152 = 28 · 3 · 233 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -3 2 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9164,340728] |
[a1,a2,a3,a4,a6] |
Generators |
[66:138:1] |
Generators of the group modulo torsion |
j |
332495964674512/2445567 |
j-invariant |
L |
3.4388511114483 |
L(r)(E,1)/r! |
Ω |
1.454396148019 |
Real period |
R |
0.26271698289296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73968l1 55476d1 |
Quadratic twists by: -4 -3 |